Pion-pion scattering and the timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD simulations using the stochastic LapH method

Abstract

We report on progress applying the stochastic LapH method to estimate all-to-all propagators required in correlation functions of multi-hadron operators relevant for pion-pion scattering. Large-volume results for $I=2$ and $I=1$ pion-pion scattering phase shifts with good statistical precision are obtained from an $N_{\mathrm{f}}=2+1$ anisotropic Wilson clover ensemble with $m_{\pi }=240\mathrm{MeV}$. We also present a preliminary determination of the $I=1$ pion-pion scattering phase shift and timelike pion form factor on an isotropic $N_{\mathrm{f}}=2+1$ flavour ensemble generated by the Coordinated Lattice Simulation (CLS) community effort.

Comments: 14 pages, 5 figures. Combined proceedings of talks by J. Bulava and B. Hoerz at the 33rd International Symposium on Lattice Field Theory (Kobe, Japan)